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Analytic Function

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An analytic function is a complex function that is complex differentiable at every point in a region.

Analytic function is a college-level concept that would be first encountered in a complex analysis course.

Examples

Exponential Function: The exponential function is the function consisting of the base of the natural logarithm e taken to the power of a given variable.
Polynomial: A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.
Power: In arithmetic, a power is an exponent to which a given quantity is raised.

Prerequisites

Complex Number: A complex number is a number consisting of a real part and an imaginary part. A complex number is an element of the complex plane.
Complex Plane: The complex plane is a term for the set of all complex numbers. Just as all real numbers can be imagined as lying on a line, all complex numbers can be thought of as points in a plane.
Derivative: A derivative is the infinitesimal rate of change in a function with respect to one of its parameters.

Classroom Articles on Complex Analysis (Up to College Level)

  • Complex Analysis
  • Riemann Sphere
  • Conformal Mapping
  • Singularity
  • Pole